000			03295nam a22005415i 4500
001			978-0-387-68548-9
003			DE-He213
005			20161121231206.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780387685489 _9978-0-387-68548-9
024	7		_a10.1007/978-0-387-68548-9 _2doi
050		4	_aQA174-183
072		7	_aPBG _2bicssc
072		7	_aMAT002010 _2bisacsh
082	0	4	_a512.2 _223
100	1		_aKassel, Christian. _eauthor.
245	1	0	_aBraid Groups _h[electronic resource] / _cby Christian Kassel, Vladimir Turaev.
264		1	_aNew York, NY : _bSpringer New York, _c2008.
300			_aX, 338 p. 60 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v247
505	0		_aBraids and Braid Groups -- Braids, Knots, and Links -- Homological Representations of the Braid Groups -- Symmetric Groups and Iwahori#x2013;Hecke Algebras -- Representations of the Iwahori#x2013;Hecke Algebras -- Garside Monoids and Braid Monoids -- An Order on the Braid Groups -- Presentations of SL(Z) and PSL(Z) -- Fibrations and Homotopy Sequences -- The Birman#x2013;Murakami#x2013;Wenzl Algebras -- Left Self-Distributive Sets.
520			_aBraids and braid groups have been at the heart of mathematical development over the last two decades. Braids play an important role in diverse areas of mathematics and theoretical physics. The special beauty of the theory of braids stems from their attractive geometric nature and their close relations to other fundamental geometric objects, such as knots, links, mapping class groups of surfaces, and configuration spaces. In this presentation the authors thoroughly examine various aspects of the theory of braids, starting from basic definitions and then moving to more recent results. The advanced topics cover the Burau and the Lawrence--Krammer--Bigelow representations of the braid groups, the Alexander--Conway and Jones link polynomials, connections with the representation theory of the Iwahori--Hecke algebras, and the Garside structure and orderability of the braid groups. This book will serve graduate students, mathematicians, and theoretical physicists interested in low-dimensional topology and its connections with representation theory.
650		0	_aMathematics.
650		0	_aGroup theory.
650		0	_aAlgebra.
650		0	_aOrdered algebraic structures.
650		0	_aAlgebraic topology.
650		0	_aManifolds (Mathematics).
650		0	_aComplex manifolds.
650	1	4	_aMathematics.
650	2	4	_aGroup Theory and Generalizations.
650	2	4	_aManifolds and Cell Complexes (incl. Diff.Topology).
650	2	4	_aOrder, Lattices, Ordered Algebraic Structures.
650	2	4	_aAlgebraic Topology.
700	1		_aTuraev, Vladimir. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387338415
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v247
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-68548-9
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c509913 _d509913